OpenStax, Algebra and Trigonometry 2e §10.7 Parametric Equations: Graphs · Example 5 · Calculus · Parametric & polar

Finding the Parametric Equations to Describe the Motion of a Baseball

Solve the problem presented at the beginning of this section. Does the batter hit the game-winning home run? Assume that the ball is hit with an initial velocity of 140 feet per second at an angle of $45°$ to the horizontal, making contact 3 feet above the ground.

ⓐ Find the parametric equations to model the path of the baseball.
ⓑ Where is the ball after 2 seconds?
ⓒ How long is the ball in the air?
ⓓ Is it a home run?

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OpenStax, Algebra and Trigonometry 2e · §10.7 Parametric Equations: Graphs · Example 5

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